TheFPm-Conjecture for a Class of Metabel
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Dessislava H. Kochloukova
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Article
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1996
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Elsevier Science
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English
β 342 KB
We prove that if A Βͺ G Βͺ Q is a short exact sequence of groups where G is finitely generated, A and Q are abelian, A is a β«-ήβ¬torsion Krull dimension one β«ήβ¬Q-module via conjugation then the FP -Conjecture holds. In general if G is of m type FP and either the extension is split or A is β«-ήβ¬torsion w